Experimental statistical designs and analysis in simulation modeling:
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| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Westport, Conn. u.a.
Quorum Books
1993
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| Edition: | 1. publ. |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XIV, 198 S. graph. Darst. |
| ISBN: | 0899306950 |
Staff View
MARC
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| 245 | 1 | 0 | |a Experimental statistical designs and analysis in simulation modeling |c Christian N. Madu and Chu-hua Kuei |
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| 264 | 1 | |a Westport, Conn. u.a. |b Quorum Books |c 1993 | |
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Record in the Search Index
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| adam_text | CONTENTS
Tables and Figures ix
Prefacc xiii
Acknowledgments xv
Chapter I The Art of Modeling 1
Chapter 2 Construction of Simulation Models 15
Chapter 3 Data Collection and Analysis Using Descriptive
Statistics 29
Chapter 4 Data Analysis Using Inferential Statistics 49
Chapter 5 Generation of Random Numbers and Random
Variables 67
Chapter 6 Tests for the Goodness of Fit of Random Number
Generators 91
Chapter 7 Modeling of Basic Queuing Systems 103
Chapter 8 Steady State Output Analysis 115
Chapter 9 Classical Factorial Designs and Regression
Metamodels 127
viii Contents
Chapter 10 Taguchi Designs 141
Chapter 11 Group Screening 153
Chapter 12 Polynomial Decomposition 165
Appendix 181
Index 195
TABLES AND FIGURES
TABLES
3.1 Waiting Line Data 32
3.2 Summary Statistics for Waiting Line Data 36
3.3 Tally Count for Interarrival Times 42
3.4 Frequency Distribution for Interarrival Times 43
3.5 Calculation of Mean and Standard Deviation of Grouped
Data Using the Step Deviation Method 45
4.1 Test for Uniform Distribution 52
4.2 Test for Normal Distribution 54
4.3 Modified Table for Testing the Normal Distribution 55
4.4 The Test for Negative Exponential Distribution 58
4.5 Modified Test for Negative Exponential Distribution 58
4.6 Test for Poisson Goodness of Fit of the Number of
Arrivals in Every 100 Second Interval 60
4.7 x2 Goodness of Fit Test for the Poisson Distribution 60
4.8 Test for Normal Distribution (K S test) 63
4.9 Test for the Negative Exponential Distribution (K S test) 63
4.10 Test for the Poisson Distribution (K S test) 64
x Tables and Figures
5.1 Generation of Two Digit Random Numbers with the
Midsquare Method (Starting Seed = 55) 70
5.2 Generation of Two Digit Random Numbers with the
Midsquare Method (Starting Seed = 35) 71
5.3 Midproduct Random Number Generation with Two Digit
Seeds 72
5.4 Midproduct Random Number Generation with Four Digit
Seeds 73
5.5 Random Number Generation for Fibonacci and Additive
Congruential Methods 74
5.6 Sample Space for the Roll of Two Fair Die 77
5.7 Random Number Generation for an Empirical Discrete
Probability Distribution 77
5.8 Inverse Transformation Method for the Binomial
Distribution 81
5.9 Inverse Transformation Method for the Poisson
Distribution 83
6.1 Uniform Distribution Test for Random Numbers
Generated by Fibonacci and Additive Congruential
Methods 92
6.2 Rank Assignments to the Random Numbers Generation
by Fibonacci and Additive Congruential Methods 95
7.1 Rate In Rate Out Equations 105
8.1 Performance Measures for M/M/l with Shorter
Simulation Runs 119
8.2 Performance Measures for M/M/l with Longer
Simulation Runs 121
8.3 Performance Measures for Steady State Output and
Analytical Model 121
9.1 Comparison of Experimental Designs 131
9.2 Formal 2V5~ Fractional Factorial Design 135
9.3 The Systematic Assignment of the Levels to the Five
Factors and the Simulation Results 135
9.4 ANOVA of All Factors 136
Tables and Figures xi
9.5 Regression Model (without transformation) 137
9.6 Regression Model (with transformation) 138
10.1 L|6(215) Orthogonal Array 144
10.2 Evaluation of Three Types of Experimental Designs 146
10.3 A Comparison of Number of Runs Needed Between
Taguchi Orthogonal Array and a Full Factorial
Design (FD) 147
10.4 A Comparison of Number of Runs Needed Between
Taguchi Design and a Fractional Factorial Design (FFD)
with Different Resolutions 148
10.5 A Comparison of Number of Runs Needed for Two
Level Design with Resolution V 148
11.1 The Systematic Assignment of the Levels to the Eight
Factors and the Simulation Results 159
11.2 The ANOVA Table for the EU1 160
11.3 The ANOVA Table for the EU2 161
11.4 Analysis of Variance for EU 1 162
11.5 Analysis of Variance for EU2 162
12.1 Test for Main and Interaction Effects on EU 169
12.2 L27(3li) Orthogonal Array 170
12.3 Experimental Design 172
12.4 Experimental Design and the Simulation Results 173
12.5 ANOVA for EU 174
12.6 Test for Linear and Quadratic Effects on EU 174
12.7 ANOVA for the Quadratic Effects of EU 175
FIGURES
1.1 Schematic Description of a System 2
2.1 Construction of Simulation Models 16
2.2 Machine Repair Problem 19
2.3 System Flow Chart for the Machine Repair Shop
Problem 22
xii Tables and Figures
3.1 Histogram for Interarrival Times 46
4.1 x2 Distribution 53
5.1 Histogram for the Sum of Two Fair Die 79
5.2 Uniform Distribution Table 84
5.3 Exponential Density Function 85
7.1 Input Output Diagram for an M/M/l System 104
7.2 Network Diagram for an M/M/3 110
8.1 Express Lane Checkout 119
8.2 Steady State Analysis of Waiting Time 122
9.1 Maintenance Float System 132
11.1 Methodology for the Illustration 155
11.2 Two Manufacturing Cells Maintenance Float System 156
12.1 Use of L27 Linear Graph for Column Assignments 171
|
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| discipline | Wirtschaftswissenschaften |
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| indexdate | 2024-07-09T17:37:06Z |
| institution | BVB |
| isbn | 0899306950 |
| language | English |
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| owner_facet | DE-384 DE-19 DE-BY-UBM |
| physical | XIV, 198 S. graph. Darst. |
| publishDate | 1993 |
| publishDateSearch | 1993 |
| publishDateSort | 1993 |
| publisher | Quorum Books |
| record_format | marc |
| spelling | Madu, Christian N. Verfasser aut Experimental statistical designs and analysis in simulation modeling Christian N. Madu and Chu-hua Kuei 1. publ. Westport, Conn. u.a. Quorum Books 1993 XIV, 198 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Commercial statistics Mathematical statistics Simulation methods Statistik (DE-588)4056995-0 gnd rswk-swf Simulation (DE-588)4055072-2 gnd rswk-swf Experiment (DE-588)4015999-1 gnd rswk-swf Statistik (DE-588)4056995-0 s Experiment (DE-588)4015999-1 s Simulation (DE-588)4055072-2 s DE-604 Kuei, Chu-hua Verfasser aut HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006315529&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Madu, Christian N. Kuei, Chu-hua Experimental statistical designs and analysis in simulation modeling Commercial statistics Mathematical statistics Simulation methods Statistik (DE-588)4056995-0 gnd Simulation (DE-588)4055072-2 gnd Experiment (DE-588)4015999-1 gnd |
| subject_GND | (DE-588)4056995-0 (DE-588)4055072-2 (DE-588)4015999-1 |
| title | Experimental statistical designs and analysis in simulation modeling |
| title_auth | Experimental statistical designs and analysis in simulation modeling |
| title_exact_search | Experimental statistical designs and analysis in simulation modeling |
| title_full | Experimental statistical designs and analysis in simulation modeling Christian N. Madu and Chu-hua Kuei |
| title_fullStr | Experimental statistical designs and analysis in simulation modeling Christian N. Madu and Chu-hua Kuei |
| title_full_unstemmed | Experimental statistical designs and analysis in simulation modeling Christian N. Madu and Chu-hua Kuei |
| title_short | Experimental statistical designs and analysis in simulation modeling |
| title_sort | experimental statistical designs and analysis in simulation modeling |
| topic | Commercial statistics Mathematical statistics Simulation methods Statistik (DE-588)4056995-0 gnd Simulation (DE-588)4055072-2 gnd Experiment (DE-588)4015999-1 gnd |
| topic_facet | Commercial statistics Mathematical statistics Simulation methods Statistik Simulation Experiment |
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